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Finding the Fourth Proportional to 1,525.14, 2,287.98 and 484.86

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Solution

The fourth proportional to 1,525.14, 2,287.98 and 484.86 is: 727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.14 : 2,287.98 = 484.86 : x
  2. Step 2: Convert to fraction form
    1,525.14/2,287.98 = 484.86/x
  3. Step 3: Cross multiply
    1,525.14x = 2,287.98 × 484.86
  4. Step 4: Simplify right side
    1,525.14x = 1,109,349.98
  5. Step 5: Solve for x
    x = 1,109,349.98/1,525.14
  6. Step 6: Final answer
    x = 727.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.